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Finding the Fourth Proportional to 4,102.72, 5,662.26 and 2,310.88

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Solution

The fourth proportional to 4,102.72, 5,662.26 and 2,310.88 is: 3,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.72 : 5,662.26 = 2,310.88 : x
  2. Step 2: Convert to fraction form
    4,102.72/5,662.26 = 2,310.88/x
  3. Step 3: Cross multiply
    4,102.72x = 5,662.26 × 2,310.88
  4. Step 4: Simplify right side
    4,102.72x = 13,084,803.39
  5. Step 5: Solve for x
    x = 13,084,803.39/4,102.72
  6. Step 6: Final answer
    x = 3,189.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.